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Finding the Fourth Proportional to 342,672.76, 514,064.22 and 117,977.95

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Solution

The fourth proportional to 342,672.76, 514,064.22 and 117,977.95 is: 176,985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,672.76 : 514,064.22 = 117,977.95 : x
  2. Step 2: Convert to fraction form
    342,672.76/514,064.22 = 117,977.95/x
  3. Step 3: Cross multiply
    342,672.76x = 514,064.22 × 117,977.95
  4. Step 4: Simplify right side
    342,672.76x = 60,648,242,843.95
  5. Step 5: Solve for x
    x = 60,648,242,843.95/342,672.76
  6. Step 6: Final answer
    x = 176,985.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.